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380027000704 = 27135315128537
BaseRepresentation
bin1011000011110110101…
…11111101011110000000
31100022220201211212202011
411201323113331132000
522211243403010304
6450325413302304
736312265131241
oct5417327753600
91308821755664
10380027000704
1113719437540a
126179a334994
1329ab4728470
1414571708cc8
159d43212c04
hex587b5fd780

380027000704 has 128 divisors (see below), whose sum is σ = 836236457280. Its totient is φ = 170942054400.

The previous prime is 380027000699. The next prime is 380027000713. The reversal of 380027000704 is 407000720083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13302724 + ... + 13331260.

Almost surely, 2380027000704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380027000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418118228640).

380027000704 is an abundant number, since it is smaller than the sum of its proper divisors (456209456576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380027000704 is a wasteful number, since it uses less digits than its factorization.

With its successor (380027000705) it forms an eRAP, since the sums of their prime factors are consecutive (28768 and 28769).

380027000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28768 (or 28756 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

Adding to 380027000704 its reverse (407000720083), we get a palindrome (787027720787).

The spelling of 380027000704 in words is "three hundred eighty billion, twenty-seven million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 151 208 212 302 416 424 604 689 832 848 1208 1378 1664 1696 1963 2416 2756 3392 3926 4832 5512 6784 7852 8003 9664 11024 15704 16006 19328 22048 28537 31408 32012 44096 57074 62816 64024 88192 104039 114148 125632 128048 208078 228296 251264 256096 370981 416156 456592 512192 741962 832312 913184 1024384 1483924 1512461 1664624 1826368 2967848 3024922 3329248 3652736 4309087 5935696 6049844 6658496 8618174 11871392 12099688 13316992 17236348 19661993 23742784 24199376 34472696 39323986 47485568 48398752 56018131 68945392 78647972 96797504 112036262 137890784 157295944 193595008 224072524 228381611 275781568 314591888 448145048 456763222 551563136 629183776 896290096 913526444 1258367552 1792580192 1827052888 2516735104 2968960943 3585160384 3654105776 5937921886 7170320768 7308211552 11875843772 14616423104 23751687544 29232846208 47503375088 95006750176 190013500352 380027000704